A straight conductor carries a current of 10 A. The magnetic field at a distance of 2 cm from the wire is: (μ₀ = 4 × 10⁻⁷ T m/A)
A test tube of mass 8 g and uniform cross-sectional area 12 cm2 is floating vertically in water. It contains 12 g of lead at the bottom. When the tube is slightly depressed and released, it performs vertical oscillations.Find the time period of oscillation.
Two light waves of intensities \(I_1 = 4I\) and \(I_2 = I\) interfere. If the path difference between the waves is 25 % of the wavelength \(\lambda\), find the resultant intensity at that point.
In a nuclear reactor, fuel is consumed at the rate of \(2 \times 10^{-3}\) g/s. If 100 % of the mass is converted to energy, find the power output of the reactor in kilowatts (kW).
A person climbs up a conveyor belt with a constant acceleration. The speed of the belt is \( \sqrt{\frac{g h}{6}} \) and the coefficient of friction is \( \frac{5}{3\sqrt{3}} \). The time taken by the person to reach from A to B with maximum possible acceleration is:
The maximum height attained by the projectile is increased by 10% by keeping the angle of projection constant. What is the percentage increase in the time of flight?
The acceleration of a particle which moves along the positive \( x \)-axis varies with its position as shown in the figure. If the velocity of the particle is \( 0.8 \, \text{m/s} \) at \( x = 0 \), then its velocity at \( x = 1.4 \, \text{m} \) is:
E, m, L, G represent energy, mass, angular momentum and gravitational constant respectively. The dimensions of \[ \frac{EL^2}{mG^2} \] will be that of
